Synchronization of Chaotic Systems Having Triangular Structure via Observer

Author(s):  
Dongling Cui ◽  
Jin Xu
2019 ◽  
Vol 33 (12) ◽  
pp. 1950153
Author(s):  
Chenchen Peng

This paper investigates the stabilization of a class of chaotic systems. On the basis of triangular system, chaotic systems which have triangular structure, can be converted into such structure and can be converted into such structure partly by appropriate coordinate transformations are considered. Different with the previous works, triangular system studied in this work has simpler structure and more applications. Moreover, back-stepping technique is used to obtain the stabilization controllers which are single controllers without judging which state component should be stabilized. It should be emphasized that the triangular structure studied in this paper is feasible not only for the stabilization of chaotic systems but for the other control problems of chaotic systems and other physical models as long as the system satisfies one of the above three cases. Several examples are selected to verify the correctness and effectiveness of the obtained results.


2015 ◽  
Vol 9 (6) ◽  
pp. 568
Author(s):  
Ahmad Al-Jarrah ◽  
Mohammad Ababneh ◽  
Suleiman Bani Hani ◽  
Khalid Al-Widyan

Chaotic systems behavior attracts many researchers in the field of image encryption. The major advantage of using chaos as the basis for developing a crypto-system is due to its sensitivity to initial conditions and parameter tunning as well as the random-like behavior which resembles the main ingredients of a good cipher namely the confusion and diffusion properties. In this article, we present a new scheme based on the synchronization of dual chaotic systems namely Lorenz and Chen chaotic systems and prove that those chaotic maps can be completely synchronized with other under suitable conditions and specific parameters that make a new addition to the chaotic based encryption systems. This addition provides a master-slave configuration that is utilized to construct the proposed dual synchronized chaos-based cipher scheme. The common security analyses are performed to validate the effectiveness of the proposed scheme. Based on all experiments and analyses, we can conclude that this scheme is secure, efficient, robust, reliable, and can be directly applied successfully for many practical security applications in insecure network channels such as the Internet


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